A projectile is thrown with an initial velocity $\left(v_x\hat{\mathrm{i}}+v_y\hat{\mathrm{j}}\right) \mathrm{m} {\mathrm{s}}^{-1}.$ If the range of the projectile is double the maximum height, then $\frac{v_y}{v_x}$ is

Three footballs $\mathrm{A}, \mathrm{B}, \mathrm{C}$ were kicked from the same point in the same vertical plane simultaneously. Their trajectories are shown in the figure.

Then which of the following statement is false?

Given that ${\mathrm{v}}_{\mathrm{Ay}},{\mathrm{v}}_{\mathrm{By}},{\mathrm{v}}_{\mathrm{Cy}}$ represents vertical components of $\mathrm{A}, \mathrm{B} \& \mathrm{C}$ respectively and ${\mathrm{v}}_{{\mathrm{Ax}}^{\text{'}}}{\mathrm{v}}_{{\mathrm{Bx}}^{\text{'}}}{\mathrm{v}}_{\mathrm{Cx}}$ represents horizontal velocity components.